Cluster Monte Carlo algorithm for the quantum rotor model

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 67, Issue 1, 2003, Pages 4-

  Alet, Fabien ^a   Sørensen, Erik S ^b  

^a UNIVERSITÉ PAUL SABATIER   (France)

^b MCMASTER UNIVERSITY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84865856437     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.67.015701     Document Type: Article

References (32)

1. See M. P. A. Fisher, P. B. Weichman, G. Grinstein, and D. S. Fisher, Phys. Rev. B 40, 546 (1989), and references therein.
2. M. P. A. Fisher, G. Grinstein, and S. M. Girvin, Phys. Rev. Lett. 64, 587 (1990).
3. K. Damle and S. Sachdev, Phys. Rev. B 56, 8714 (1997).
4. D. Das and S. Doniach, Phys. Rev. B 60, 1261 (1999);
5. Phys. Rev. BP. Phillips and D. Dalidovich, 65, 081101 (2002);
6. D. Dalidovich and P. Phillips, Phys. Rev. Lett. 89, 027001 (2002);
7. A. Paramekanti, L. Balents, and M. P. A. Fisher, Phys. Rev. B 66, 054526 (2002).
8. See Y. Liu and A. M. Goldman, Physica D 83, 163 (1995), and references therein.
9. See N. Mason and A. Kapitulnik, Phys. Rev. Lett. 82, 5341 (1999), and references therein.
10. J. T. Chayes, Phys. Rev. Lett. 57, 2999 (1986).
11. E. S. Sørensen, Phys. Rev. Lett. 69, 828 (1992);
12. M. Wallin, Phys. Rev. B 49, 12 115 (1994).
13. M.-C. Cha, Phys. Rev. B 44, 6883 (1991).
14. A. v. Otterlo and K.-H. Wagenblast, Phys. Rev. Lett. 72, 3598 (1994);
15. A. v. Otterlo, Phys. Rev. B 52, 16 176 (1995);
16. Phys. Rev. BJ. Kisker and H. Rieger, 55, R11981 (1997)
17. J. KiskerH. RiegerPhysica A 246, 348 (1997);
18. S. Y. Park, Phys. Rev. B 59, 8420 (1999);
19. J.-W. Lee, M.-C. Cha, and D. Kim, Phys. Rev. Lett. 87, 247006 (2001).
20. R. H. Swendsen and J. S. Wang, Phys. Rev. Lett. 58, 86 (1987).
21. U. Wolff, Phys. Rev. Lett. 62, 361 (1989).
22. H. G. Evertz, G. Lana, and M. Marcu, Phys. Rev. Lett. 70, 875 (1993).
23. N. V. Prokof’ev, B. V. Svistunov, and I. S. Tupitsyn, Phys. Lett. A 238, 253 (1998);
24. N. V. Prokof’ev and B. V. Svistunov, Phys. Rev. Lett. 87, 160601 (2001).
25. A. W. Sandvik, Phys. Rev. B 59, R14157 (1999).
26. M. E. J. Newman and G. T. Barkema, Monte Carlo Methods in Statistical Physics (Oxford University Press, Oxford, 1999).
27. A. M. Ferrenberg and R. H. Swendsen, Phys. Rev. Lett. 61, 2635 (1988).
28. M. Campostrini, Phys. Rev. B 63, 214503 (2001).
29. F. Alet, P. Hitchcock, and E. S. Sørensen (unpublished).
30. M. Guo, R. N. Bhatt, and D. A. Huse, Phys. Rev. Lett. 72, 4137 (1994);
31. Phys. Rev. Lett.H. Rieger and A. P. Young, 72, 4141 (1994).
32. I. F. Herbut, Phys. Rev. B 57, 13729 (1998).